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1112935680 = 2833532203
BaseRepresentation
bin100001001010110…
…0000110100000000
32212120011222202000
41002111200310000
54234402420210
6302234024000
736402540303
oct10225406400
92776158660
101112935680
1152125005a
12270878000
1314975c82c
14a7b48b3a
1567a8dac0
hex42560d00

1112935680 has 144 divisors (see below), whose sum is σ = 3949498560. Its totient is φ = 296773632.

The previous prime is 1112935643. The next prime is 1112935709. The reversal of 1112935680 is 865392111.

1112935680 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 93 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18459 + ... + 50661.

Almost surely, 21112935680 is an apocalyptic number.

1112935680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974749280).

1112935680 is an abundant number, since it is smaller than the sum of its proper divisors (2836562880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1112935680 is an equidigital number, since it uses as much as digits as its factorization.

1112935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32233 (or 32213 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1112935680 is about 33360.6906403330. The cubic root of 1112935680 is about 1036.3107945860.

The spelling of 1112935680 in words is "one billion, one hundred twelve million, nine hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 32203 34560 64406 96609 128812 161015 193218 257624 289827 322030 386436 483045 515248 579654 644060 772872 869481 966090 1030496 1159308 1288120 1449135 1545744 1738962 1932180 2060992 2318616 2576240 2898270 3091488 3477924 3864360 4121984 4347405 4637232 5152480 5796540 6182976 6955848 7728720 8243968 8694810 9274464 10304960 11593080 12365952 13911696 15457440 17389620 18548928 20609920 23186160 24731904 27823392 30914880 34779240 37097856 41219840 46372320 55646784 61829760 69558480 74195712 92744640 111293568 123659520 139116960 185489280 222587136 278233920 370978560 556467840 1112935680